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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. The Law of Sines and Law of Cosines

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Exercise 72 Page 679

Use the Distance Formula.

10 units

Practice makes perfect

To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are J(7,11) and K(-1,5).

JK = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)

SubstitutePoints

Substitute ( 7,11) & ( -1,5)

JK=sqrt(( -1- 7)^2+( 5- 11)^2)

Subtract terms

JK=sqrt((- 8)^2+(- 6)^2)

NegBaseToPosBase

(- a)^2=a^2

JK=sqrt(8^2+6^2)

Calculate power

JK=sqrt(64+36)

Add terms

JK=sqrt(100)

Calculate root

JK=10

The distance between J and K is 10 units.

Subchapter links

Exercises p.674-679